Proceedings in Applied Mathematics and Mechanics (2014)
Himpe Christian and Ohlberger Mario
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By Himpe Christian and Ohlberger Mario
Proceedings of the 8th Vienna International Conference on Mathematical Modelling (2015)
The cross gramian matrix can be used for model order reduction as well as system identification of linear control systems, which are frequently used in the sciences. The empirical cross gramian is solely computed from trajectories and hence extends beyond linear state-space systems to nonlinear systems. In this work the applicability of the empirical cross gramian also for parametrized systems is demonstrated and assessed using a nonlinear benchmark problem.
Himpe C. and Ohlberger M. (2015) The Empirical Cross Gramian for Parametrized Nonlinear Systems. Proceedings of the 8th Vienna International Conference on Mathematical Modelling, 48, 727--728.